Chow, Sam (2018) Roth-Waring-Goldbach. International Mathematics Research Notices, 2018 (8). pp. 2341-2374. doi:10.1093/imrn/rnw307 ISSN 1073-7928.

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Abstract

We use Green’s transference principle to show that any subset of the dth powers of primes with positive relative density contains nontrivial solutions to a translation-invariant linear equation in d2+1 or more variables, with explicit quantitative bounds.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title:	International Mathematics Research Notices
Publisher:	Oxford University Press
ISSN:	1073-7928
Official Date:	April 2018
Dates:	Date Event April 2018 Published 11 January 2017 Available 22 November 2016 Accepted
Volume:	2018
Number:	8
Page Range:	pp. 2341-2374
DOI:	10.1093/imrn/rnw307
Status:	Peer Reviewed
Publication Status:	Published
Reuse Statement (publisher, data, author rights):	This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record Sam Chow, Roth–Waring–Goldbach, International Mathematics Research Notices, Volume 2018, Issue 8, April 2018, Pages 2341–2374, is available online at: https://doi.org/10.1093/imrn/rnw307
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	18 September 2019
Date of first compliant Open Access:	18 September 2019
Related URLs:	Publisher

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